## A Mathematics Lesson Starter Of The Day

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Arrange the numbers 1 to 5 on the yellow circles so that consecutive numbers are not connected by blue lines.

How many different ways can this be done?

Topics: Starter | Logic | Puzzles

• Mr. Walsh & Class 2, Blackboys Primary School
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• Michael Reeder thought it was quite challenging! Everyone really enjoyed it and rose to the challenge!
• 8PF, Varndean School, Brighton
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• A good starter. quite easy, but it made us think !!!
• 7C/Ma4, Canterbury High
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• Great - a little too easy, but interesting for all!
Need some more like this!
• D.Wanasingha, PGCE (UOH)
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• The answer 14 is if we arrange them as a line. Otherwise it reduces to 10 when we consider it as a circle. If it is a line it would be a quite tricky puzzle even for secondary students.
• Pearl Oberon,
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• Why are there only 2 solutions?
• Nancy, NY
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• I found only 2 solutions. How is it 10? only 1, 3, and 5 can go on the outside of the circle. And only 1 and 5 could be placed in the outsides of the 4 linked numbers, that leaves us with 1, 4, 2, 5 and 3 or 5, 2, 4, 1 and 3. How is that it has 10 combinations?
• Mr Cansdale, Wintringham Grimsby
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• 10Y3 think this is the most amazing thing they have ever attempted!
• Steve Eastop, Kent, UK
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• Please note there is another solution: (reading down the page and left to right):
2
1 - 4 - 5
3.
• Matt, Burton On Trent
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• I only found 2 also, cannot see how you can get anymore.
• M Trainor, Edinburgh
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• My class absolutlely loved this!!!! They said it was too easy for them.
• Jimbobaloola, NKS6
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• S.E, Can you please check your answers before entering incorrect info. There are Year 6 pupils here in Fulham who have proved that there are only 2 answers. Many thanks.
• Mr Cansdale, Oasis Wintringham Academy
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• 7A4, the majority think that there are more than 2 ways of doing this!
• 9C1, Titus Salt School
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• Emily said it's obvious. 1 3 and 5 have to go on the outside. So there can only be 2 solutions.
• Miss Clarke, Holton - Le - Clay Juniors
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• We thought this activity was fun because it was challenging.
Chloe said she learnt a new word doing this activity - 'consecutive'.
Some of us found it a little confusing when arranging the numbers but we found the right answers in the end!
Shaun wants us to try and make our own up now.
• Kartik, India
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• Hey Kids,
There are 12 ways in total.
In outer ring 1,3 and 5 can be arrange in 3! ways that is 6 different ways and 2 and 4 can be arrange in 2 ways there for 6 * 2 = 12 different ways.
• Kartik, India
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• Its 2 ways sorry about previous answers as I forgot abt consecutive thing.
• Mr Pierce, 10R1 - Liverpool
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• Absolutely AMAZING!!!!!!!!!!!! Found all 8 solutions.
• Mike M, Swansea
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• Really great. Two solutions possible: Either (from top round clockwise) 1 , 3, 5, 2, 4 or 5, 3, 1, 4, 2. Class loved it.
• Gabby, Gabby
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• Hey Kids,
There are ? ? ways in total.
I really enjoyed this starter even if it was too easy,
but it made me and my younger, elder siblings thinking a lot !
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• Coylton Primary,
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How did you use this starter? Can you suggest how teachers could present or develop this resource? Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for Maths teachers anywhere in the world.

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## Maths T-Shirts

 Teacher, do your students have access to computers?Do they have iPads or Laptops in Lessons? Whether your students each have a TabletPC, a Surface or a Mac, this activity lends itself to eLearning (Engaged Learning).

Transum.org/go/?Start=September25

Here is the URL which will take them to a related student activity.

Transum.org/go/?to=Keep

For Students:

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